338941014720 has 896 divisors, whose sum is σ = 1393506975744. Its totient is φ = 67737600000.

The previous prime is 338941014719. The next prime is 338941014743. The reversal of 338941014720 is 27410149833.

338941014720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338941014720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483510370 + ... + 483511070.

Almost surely, 2^338941014720 is an apocalyptic number.

338941014720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338941014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696753487872).

338941014720 is an abundant number, since it is smaller than the sum of its proper divisors (1054565961024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338941014720 is a wasteful number, since it uses less digits than its factorization.

338941014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 338941014720 in words is "three hundred thirty-eight billion, nine hundred forty-one million, fourteen thousand, seven hundred twenty".